402304480 has 96 divisors (see below), whose sum is σ = 1017878400. Its totient is φ = 149801472.

The previous prime is 402304471. The next prime is 402304481. The reversal of 402304480 is 84403204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402304481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178239 + ... + 180481.

It is an arithmetic number, because the mean of its divisors is an integer number (10602900).

Almost surely, 2^402304480 is an apocalyptic number.

402304480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402304480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508939200).

402304480 is an abundant number, since it is smaller than the sum of its proper divisors (615573920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402304480 is a wasteful number, since it uses less digits than its factorization.

402304480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 402304480 is about 20057.5292596072. The cubic root of 402304480 is about 738.2185539154.

Adding to 402304480 its reverse (84403204), we get a palindrome (486707684).

The spelling of 402304480 in words is "four hundred two million, three hundred four thousand, four hundred eighty".